What is the Greatest Common Factor of 84075 and 84085?

Greatest common factor (GCF) of 84075 and 84085 is 5.

GCF(84075,84085) = 5

We will now calculate the prime factors of 84075 and 84085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84075 and 84085.

How to find the GCF of 84075 and 84085?

We will first find the prime factorization of 84075 and 84085. After we will calculate the factors of 84075 and 84085 and find the biggest common factor number .

Step-1: Prime Factorization of 84075

Prime factors of 84075 are 3, 5, 19, 59. Prime factorization of 84075 in exponential form is:

84075 = 3¹ × 5² × 19¹ × 59¹

Step-2: Prime Factorization of 84085

Prime factors of 84085 are 5, 67, 251. Prime factorization of 84085 in exponential form is:

84085 = 5¹ × 67¹ × 251¹

Step-3: Factors of 84075

List of positive integer factors of 84075 that divides 84075 without a remainder.

1, 3, 5, 15, 19, 25, 57, 59, 75, 95, 177, 285, 295, 475, 885, 1121, 1425, 1475, 3363, 4425, 5605, 16815, 28025

Step-4: Factors of 84085

List of positive integer factors of 84085 that divides 84075 without a remainder.

1, 5, 67, 251, 335, 1255, 16817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84075 and 84085. The biggest common factor number is the GCF number.
So the greatest common factor 84075 and 84085 is 5.

Also check out the Least Common Multiple of 84075 and 84085